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Finding the Fourth Proportional to 1,725.97, 2,571.81 and 1,642.29

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Solution

The fourth proportional to 1,725.97, 2,571.81 and 1,642.29 is: 2,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.97 : 2,571.81 = 1,642.29 : x
  2. Step 2: Convert to fraction form
    1,725.97/2,571.81 = 1,642.29/x
  3. Step 3: Cross multiply
    1,725.97x = 2,571.81 × 1,642.29
  4. Step 4: Simplify right side
    1,725.97x = 4,223,657.84
  5. Step 5: Solve for x
    x = 4,223,657.84/1,725.97
  6. Step 6: Final answer
    x = 2,447.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.